arXiv Analytics

Sign in

arXiv:2202.04571 [math.AP]AbstractReferencesReviewsResources

Harnack inequality for nonlocal problems with non-standard growth

Jamil Chaker, Minhyun Kim, Marvin Weidner

Published 2022-02-09Version 1

We prove a full Harnack inequality for local minimizers, as well as weak solutions to nonlocal problems with non-standard growth. The main auxiliary results are local boundedness and a weak Harnack inequality for functions in a corresponding De Giorgi class. This paper builds upon a recent work on regularity estimates for such nonlocal problems by the same authors.

Related articles: Most relevant | Search more
arXiv:2403.13539 [math.AP] (Published 2024-03-20)
The weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth
arXiv:2304.04499 [math.AP] (Published 2023-04-10)
A note on the weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth
arXiv:2105.15016 [math.AP] (Published 2021-05-31)
Weak Harnack inequality for a mixed local and nonlocal parabolic equation